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Proceedings Paper

The wave propagation in/on natural random fractals
Author(s): V. E. Arkhincheev; A. B. Bainova
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Paper Abstract

It is shown that to describe the wave propagation in disordered systems - in natural random fractals the fractional calculus is necessary to apply. The analogy between wave equations of fractional temporal order and diffusion equation of fractional temporal order is preceded. The new generalized wave equations of fractional order are deduced from microscopic models as Comb model. The solutions of these equations are obtained and the physical sense of these fractional equations is discussed.

Paper Details

Date Published: 12 December 2006
PDF: 8 pages
Proc. SPIE 6404, Remote Sensing and Modeling of the Atmosphere, Oceans, and Interactions, 640410 (12 December 2006); doi: 10.1117/12.693707
Show Author Affiliations
V. E. Arkhincheev, Federal Urdu Univ. of Arts, Science & Technologies (Pakistan)
Buryat Science Ctr. (Russia)
A. B. Bainova, Buryat State Univ. (Russia)

Published in SPIE Proceedings Vol. 6404:
Remote Sensing and Modeling of the Atmosphere, Oceans, and Interactions
Tiruvalam N. Krishnamurti; B. N. Goswami; Toshiki Iwasaki, Editor(s)

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